3993986880 has 448 divisors, whose sum is σ = 15396057600. Its totient is φ = 980895744.

The previous prime is 3993986861. The next prime is 3993986891. The reversal of 3993986880 is 886893993.

3993986880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3993986880² = 31903862395224268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097701 + ... + 9098139.

It is an arithmetic number, because the mean of its divisors is an integer number (34366200).

Almost surely, 2^3993986880 is an apocalyptic number.

3993986880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698028800).

3993986880 is an abundant number, since it is smaller than the sum of its proper divisors (11402070720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3993986880 is an equidigital number, since it uses as much as digits as its factorization.

3993986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 3993986880 is about 63197.9974366277. The cubic root of 3993986880 is about 1586.6052169628.

The spelling of 3993986880 in words is "three billion, nine hundred ninety-three million, nine hundred eighty-six thousand, eight hundred eighty".